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Finding the Fourth Proportional to 471,086.37, 706,201.97 and 171,355.10

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Solution

The fourth proportional to 471,086.37, 706,201.97 and 171,355.10 is: 256,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,086.37 : 706,201.97 = 171,355.10 : x
  2. Step 2: Convert to fraction form
    471,086.37/706,201.97 = 171,355.10/x
  3. Step 3: Cross multiply
    471,086.37x = 706,201.97 × 171,355.10
  4. Step 4: Simplify right side
    471,086.37x = 121,011,304,801.76
  5. Step 5: Solve for x
    x = 121,011,304,801.76/471,086.37
  6. Step 6: Final answer
    x = 256,877.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.